16 citations · 87 across the 12 of their papers we have counts for
14 papers · 1 filter
Periodic point free homeomorphisms and irrational rotation factors
Alejandro Kocsard
We provide a complete characterization of periodic point free homeomorphisms of the -torus admitting irrational circle rotations as topological factors. Given a homeomorphism of…
Livsic theorem for diffeomorphism cocycles
Artur Avila, Alejandro Kocsard, Xiao-Chuan Liu
We prove the so called Livšic theorem for cocycles taking values in the group of $C^{1+β}-diffeomorphisms of any closed manifold of arbitrary dimension. Since no localization hypot…
Rotational deviations and invariant pseudo-foliations for periodic point free torus homeomorphisms
Alejandro Kocsard, Fernanda Pereira-Rodrigues
This article deals with directional rotational deviations for non-wandering periodic point free homeomorphisms of the 2-torus which are homotopic to the identity. We prove that und…
On the dynamics of minimal homeomorphisms of which are not pseudo-rotations
Alejandro Kocsard
We prove that any minimal -torus homeomorphism which is isotopic to the identity and whose rotation set is not just a point exhibits uniformly bounded rotational deviations on t…
The Burnside problem for
Sebastian Hurtado, Alejandro Kocsard, Federico Rodríguez-Hertz
Let be a closed surface and be the group of volume preserving diffeomorphisms of . A finitely generated group is periodic of bounded expone…
Livsic theorem for low-dimensional diffeomorphism cocycles
Alejandro Kocsard, Rafael Potrie
We prove a Livsic type theorem for cocycles taking values in groups of diffeomorphisms of low-dimensional manifolds. The results hold without any localization assumption and in ver…